BEHAVIOR OF THE MAIN ELECTROMAGNETIC FORCES ACTING ON THE ARC IN THREE-PHASE ARC FURNACE
https://doi.org/10.17073/0368-0797-2015-7-479-485
Abstract
Abstract. The mathematical model to determine the key local and average integral electromagnetic forces acting on the arc discharges in the threephase arc furnace has been given. There are the forces acting on the arc column, which are caused by currents fl owing through the liquid metal, the forces of the electromagnetic interaction of the arc with other arcs and currents fl owing through the graphite electrodes and the forces of the interaction of the arc with its own magnetic fi eld. Through computer simulations it is shown that in three-phase arc furnace, when the distances between the electrodes are less than 1.5 – 2.5 of the arc lengths the most signifi cant infl uence on the behavior of the electric arc and its form have the forces of the electromagnetic interaction between the currents fl owing through the arc and graphite electrodes, and at large distances the most signifi cant infl uence on the behavior of the electric arc and its form have the force of interaction of the arcs with currents fl owing through the liquid metal. It was found that average resultant electromagnetic force acting on the arc can signifi cantly defl ect it from a straight line connecting the center of the electrodes and the axis of the electrode.
About the Authors
I. M. YachikovRussian Federation
Dr.Eng., Professor of the Chair of Computer Engineering and Applied Mathematics
38, Lenina ave., Magnitogorsk, 455000, Russia
E. M. Kostyleva
Russian Federation
Postgraduate of the Chair of Computer Engineering and Applied Mathematics
38, Lenina ave., Magnitogorsk, 455000, Russia
References
1. Вочке И. Электрическая плавильная печь: Пер. с нем. / Под ред. А.Н. Соколова. – Ленинград; Москва: Онти. Глав. ред. лит-ры по черной металлургии, 1936. – 540 с. Wotschke Johannes. Crundlagen des elektrischen schmelzofens. Haale 1933. (Russ.ed.: Vochke Iogan. Elektricheskaya plavil’naya pech’. Sokolov A.N. ed. Leningrad – Moscow: Onti. Glav. red. lit-ry po chernoi metallurgii, 1936. 540 p.).
2. Егоров А.В. Электроплавильные печи черной металлургии. – М.: Металлургия, 1985. – 280 c. Egorov A.V. Elektroplavil’nye pechi chernoi metallurgii [Electric smelting furnaces in ferrous metallurgy]. Moscow: Metallurgiya, 1985. 280 p. (In Russ.).
3. Макаров А.Н. Теплообмен в дуговых сталеплавильных печах. – Тверь: ТГТУ, 1998. – 184 с. Makarov A.N. Teploobmen v dugovykh staleplavil’nykh pechakh [Heat transfer in electric arc furnaces]. Tver: TGTU, 1998. 184 p. (In Russ.).
4. Макаров А.Н., Свенчанский А.Д. Оптимальные тепловые режимы дуговых сталеплавильных печей. – М.: Энергоатомиздат, 1992. – 96 с. Makarov A.N., Svenchanskii A.D. Optimal’nye teplovye rezhimy dugovykh staleplavil’nykh pechei [Optimal thermal modes of arc furnaces]. Moscow: Energoatomizdat, 1992. 96 p. (In Russ.).
5. Никольский Л.Е., Смоляренко В.Д., Кузнецов Л.Н. Тепловая работа дуговых сталеплавильных печей. – М.: Металлургия, 1981. – 320 с. Nikol’skii L.E., Smolyarenko V.D., Kuznetsov L.N. Teplovaya rabota dugovykh staleplavil’nykh pechei [Thermal work of arc furnaces]. Moscow: Metallurgiya, 1981. 320 p. (In Russ.).
6. Миронов Ю.М. Электрическая дуга в электротехнологических установках. – Чебоксары: Изд. Чуваш. ун-та, 2013. – 238 с. Mironov Yu.M. Elektricheskaya duga v elektrotekhnologicheskikh ustanovkakh: Monografi ya [The electric arc in the electro-technological installations: Monograph]. Cheboksary: Izd. Chuvash.un-ta, 2013. 238 p. (In Russ.).
7. Общая электротехника. / Под. ред. В.С. Пантюшина. – М.: Высш. школа, 1970. – 568 с. Obshchaya elektrotekhnika [General Electrical Engineering]. Pantyushin V.S. ed. Moscow: Vyssh. shkola, 1970. 568 p. (In Russ.).
8. Ячиков И.М., Зарецкая Е.М. Анализ поведения магнитного поля вблизи электродов дуговых печей посредством математического моделирования // Изв. вуз. Черная металлургия. 2011. № 1. С. 18 – 21. Yachikov I.M., Zaretskaya E.M. Magnetic fi eld behavior close to electric arc furnace electrodes analysis with mathematical modeling. Izvestiya VUZov. Chernaya metallurgiya = Izvestiya. Ferrous Metallurgy. 2011, no. 1, pp. 18–21. (In Russ.).
9. Ячиков И.М., Костылева Е.М. Математическое моделирование формы дуг при их электромагнитном взаимодействии. Сообщение 1. Форма двух дуг постоянного тока, горящих между катодами и токопроводящей поверхностью // Изв. вуз. Черная металлургия. 2014. № 1. С. 59 – 64. Yachikov I.M., Kostyleva E.M. The mathematical modeling of form of arcs with their electromagnetic coupling. Report 1. Izvestiya VUZov. Chernaya metallurgiya = Izvestiya. Ferrous Metallurgy. 2014, no. 1, pp. 59–64. (In Russ.).
10. Ячиков И.М., Костылева Е.М. Взаимодействие дуг // Свидетельство о государственной регистрации программы для ЭВМ № 2013619388. БПБТ. 2013. № 4. С. 324. Yachikov I.M., Kostyleva E.M. Vzaimodeistvie dug. Svidetel’stvo o gosudarstvennoi registratsii programmy dlya EVM no. 2013619388 [Arcs interaction. Certifi cate of state registration of a computer program]. BPBT. 2013, no. 4, p. 324. (In Russ.)
Review
For citations:
Yachikov I.M., Kostyleva E.M. BEHAVIOR OF THE MAIN ELECTROMAGNETIC FORCES ACTING ON THE ARC IN THREE-PHASE ARC FURNACE. Izvestiya. Ferrous Metallurgy. 2015;58(7):479-485. (In Russ.) https://doi.org/10.17073/0368-0797-2015-7-479-485